Hah. Imagine the press if they were as customer-centric and data-driven as they are portrayed, and they proactively sent compensation based on their errors of estimation (i.e. customer expectations).
That's horrible business practice, you always count on a certain number of people dropping out, not noticing, and not caring..... it's kind of like overselling seats (free revenue)
They don't do that anymore. They just say "two days is the time in transit not counting weekends" (despite them absolutely delivering on Saturday and sundays.